Sector Area and Perimeter Challenges for Grade 7

A pizza has a radius of 10 inches. What is the area of a sector that represents 1/4 of the pizza?

• 20π square inches

• 25π square inches

• 30π square inches

• 15π square inches

A circular garden has a radius of 5 meters. If a sector of the garden is cut out with a central angle of 60 degrees, what is the perimeter of that sector?

• 15π meters

• 25 meters

• 10 meters

• (5π + 30)/3 meters

A clock has a radius of 12 cm. What is the area of the sector formed by the hour hand when it moves from 3 o'clock to 4 o'clock?

• 18 cm²

• 24π cm²

• 12π cm²

• 6π cm²

A circular swimming pool has a diameter of 20 feet. If a sector of the pool is shaded with a central angle of 90 degrees, what is the area of the shaded sector?

• 15π square feet

• 30π square feet

• 25π square feet

• 20π square feet

A circular track has a radius of 15 meters. If a runner completes a lap that includes a sector with a central angle of 120 degrees, what is the perimeter of that sector?

• 30π meters

• 10π + 30 meters

• 15π + 20 meters

• 5π + 45 meters

A cake is shaped like a circle with a radius of 8 inches. If a slice representing 1/8 of the cake is taken, what is the area of that slice?

• 8π square inches

• 2π square inches

• 4π square inches

• 16π square inches

A circular fountain has a radius of 4 meters. If a sector of the fountain has a central angle of 45 degrees, what is the area of that sector?

• 3π square meters

• 1π square meters

• 2π square meters

• 4π square meters

A circular pizza has a radius of 14 inches. If a sector of the pizza is cut out with a central angle of 30 degrees, what is the perimeter of that sector?

• 28 inches

• (7/3)π + 28 inches

• (1/2)π + 14 inches

• 14π inches

A circular garden has a radius of 10 feet. If a sector of the garden is watered with a central angle of 90 degrees, what is the area of the watered sector?

• 20π square feet

• 15π square feet

• 30π square feet

• 25π square feet

A circular table has a diameter of 6 feet. If a sector of the table is covered with a tablecloth that has a central angle of 120 degrees, what is the area of the uncovered sector?

• 6π square feet

• 3π square feet

• 8π square feet

• 4π square feet